Proof: Rearrange Sum 2

Let's prove the following theorem:

if (a + b) + c = d, then (b + a) + c = d

Proof:

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Given
1 (a + b) + c = d
Proof Table
# Claim Reason
1 (a + b) + c = (b + a) + c (a + b) + c = (b + a) + c
2 (b + a) + c = d if (a + b) + c = (b + a) + c and (a + b) + c = d, then (b + a) + c = d
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